39361440 has 48 divisors (see below), whose sum is σ = 123990048. Its totient is φ = 10496256.

The previous prime is 39361429. The next prime is 39361447. The reversal of 39361440 is 4416393.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 39361398 and 39361407.

It is not an unprimeable number, because it can be changed into a prime (39361447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40522 + ... + 41481.

It is an arithmetic number, because the mean of its divisors is an integer number (2583126).

Almost surely, 2^39361440 is an apocalyptic number.

39361440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39361440 is an abundant number, since it is smaller than the sum of its proper divisors (84628608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39361440 is a wasteful number, since it uses less digits than its factorization.

39361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82021 (or 82013 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 39361440 is about 6273.8696193020. The cubic root of 39361440 is about 340.1655479850.

The spelling of 39361440 in words is "thirty-nine million, three hundred sixty-one thousand, four hundred forty".